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soldier1979 [14.2K]
2 years ago
8

write an equivalent expression for 2x+2 using distributive property and write an equivalent expression for 2(2x+5)​

Mathematics
1 answer:
devlian [24]2 years ago
3 0
(1+1)x+1 and 4x+10


Explanation

I distributed the 2 to form a new equation and I put together the distributed equation in the second one to form a new one,
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A new restaurant with 134 seats is being planned. Studies show that 62​% of the customers demand a​ smoke-free area. How many se
zzz [600]

Answer: 100

Step-by-step explanation:

Given : The total number of seats planned in new restaurant =134

The percentage of customers demand a​ smoke-free area = 62%

It can also be written as 62\%=\dfrac{62}{100}=0.62

The mean of this binomial distribution will be :-

\mu=np\\\\\mu=(134)(0.62)=83.08

Standard deviation:-

\sigma=\sqrt{np(1-p)}\\\\\Rightarrow\sigma=\sqrt{134(0.62)(0.38)}\approx5.6

Now, the number of seats should be in the​ non-smoking area in order to be very sure ​of having enough seating​ there :-

\mu+3\sigma=83.08+3(5.6)=99.88\approx100

4 0
3 years ago
Solve x2 + 14x + 17 = –96 for x
jarptica [38.1K]

For this case we have to:

Given the quadratic equation of the form:

ax ^ 2 + bx + c = 0

The roots are given by:

x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}

If we have: x ^ 2 + 14x + 17 = -96

We can rewrite it in the following way:

x ^ 2 + 14x + 17 + 96 = 0\\x ^ 2 + 14x + 113 = 0

Where:

a = 1\\b = 14\\c = 113

Where we have:

x = \frac {-14 \pm \sqrt {(14) ^ 2-4 (1) (113)}} {2 (1)}

x = \frac {-14 \pm \sqrt {(196-452)}} {2}

x = \frac {-14 \pm \sqrt {-256}} {2}

By definition: \sqrt {-1} = i

x = \frac {-14 \pm \sqrt {256} i} {2}

x = \frac {-14 \pm16i} {2}

x = \frac {-14} {2} \pm \frac {16i} {2}

x = -7 \pm8i

Thus, the roots are given by imaginary numbers:

x_ {1} = - 7 + 8i\\x_ {2} = - 7-8i

Answer:

x_ {1} = - 7 + 8i\\x_ {2} = - 7-8i


5 0
3 years ago
Read 2 more answers
In January. The temperature in Fargo, North Dakota is -2 F. On the same day, the temperature in Cheyenne, Wyoming was 1 F. Write
zaharov [31]

Answer:

(a) 1 > -2 or -2 < 1

(b) 2 > 1 or 1 < 2

Step-by-step explanation:

Given

N = -2F --- North Dakota

C = 1F --- Cheyenne, Wyoming

Solving (a): Inequality to compare both temperatures

From the given temperatures, we can conclude that:

C > N or N < C

Because

1 > -2 i.e. 1 is greater than -2

or

-2 < 1 i.e. -2 is less than 1

Solving (b): Inequality to compare the absolute values of the temperatures

We have:

N = -2F

C = 1F

The absolute values are:

|N| = |-2|

|N| =2

|C| = |1|

|C| = 1

By comparison:

|N| > |C| or |C| < |N|

Because

2 > 1 i.e. 2 is greater than 1

or

1 < 2 i.e. 1 is less than 2

4 0
2 years ago
Rectangle ABCD has m∠ACD=5x−4 and m∠BAC=4x+5. <br> Find m∠CAD. m∠CAD=
EleoNora [17]

Answer:

did you ever get the answer?

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
00.6 times 00.99 how much will you get explain correctly
Helga [31]
Multiple the 2 numbers and you should get 0.594

Explanation is the pic
6 0
3 years ago
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